College Physics
College Physics
11th Edition
ISBN: 9781305952300
Author: Raymond A. Serway, Chris Vuille
Publisher: Cengage Learning
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A 29,000 kg freight car is coasting at 0.700 m/s with negligible friction under a hopper that dumps 150,000 kg of scrap metal into it.

(a)
What is the final velocity (in m/s) of the loaded freight car? (Enter the magnitude.)
 
(b)
How much kinetic energy (in J) is lost?
Expert Solution
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Step 1

(a)

According to the conservation of momentum, the momentum of the system in the direction of coasting must be conserved. The momentum conservation gives,

mv=m+Mv'

Here, m is the mass of the freight car, v is the initial velocity of the freight car, M is the mass of the scrap metal and v' is the final velocity of the loaded freight car.

Rearranging the equation,

v'=mvm+M=29000 kg0.700 m/s29000 kg+150000 kg=0.113 m/s

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